TSTP Solution File: SET727+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET727+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:25:28 EDT 2022
% Result : Theorem 3.53s 0.91s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 159 ( 39 unt; 0 def)
% Number of atoms : 553 ( 56 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 615 ( 221 ~; 213 |; 133 &)
% ( 16 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-5 aty)
% Number of variables : 359 ( 313 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1666,plain,
$false,
inference(avatar_sat_refutation,[],[f1344,f1635,f1664]) ).
fof(f1664,plain,
( ~ spl17_1
| spl17_3 ),
inference(avatar_split_clause,[],[f1646,f409,f322]) ).
fof(f322,plain,
( spl17_1
<=> sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f409,plain,
( spl17_3
<=> sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f1646,plain,
( sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) != sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)
| spl17_3 ),
inference(backward_demodulation,[],[f410,f1636]) ).
fof(f1636,plain,
sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(subsumption_resolution,[],[f1633,f340]) ).
fof(f340,plain,
member(sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK7),
inference(subsumption_resolution,[],[f335,f203]) ).
fof(f203,plain,
member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6),
inference(resolution,[],[f187,f177]) ).
fof(f177,plain,
~ equal_maps(inverse_function(sK10,sK7,sK6),sK8,sK6,sK7),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( identity(compose_function(sK9,sK10,sK7,sK6,sK7),sK7)
& ~ equal_maps(inverse_function(sK10,sK7,sK6),sK8,sK6,sK7)
& maps(sK8,sK6,sK7)
& identity(compose_function(sK10,sK8,sK6,sK7,sK6),sK6)
& maps(sK9,sK6,sK7)
& maps(sK10,sK7,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10])],[f115,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2,X3,X4] :
( identity(compose_function(X3,X4,X1,X0,X1),X1)
& ~ equal_maps(inverse_function(X4,X1,X0),X2,X0,X1)
& maps(X2,X0,X1)
& identity(compose_function(X4,X2,X0,X1,X0),X0)
& maps(X3,X0,X1)
& maps(X4,X1,X0) )
=> ( identity(compose_function(sK9,sK10,sK7,sK6,sK7),sK7)
& ~ equal_maps(inverse_function(sK10,sK7,sK6),sK8,sK6,sK7)
& maps(sK8,sK6,sK7)
& identity(compose_function(sK10,sK8,sK6,sK7,sK6),sK6)
& maps(sK9,sK6,sK7)
& maps(sK10,sK7,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1,X2,X3,X4] :
( identity(compose_function(X3,X4,X1,X0,X1),X1)
& ~ equal_maps(inverse_function(X4,X1,X0),X2,X0,X1)
& maps(X2,X0,X1)
& identity(compose_function(X4,X2,X0,X1,X0),X0)
& maps(X3,X0,X1)
& maps(X4,X1,X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
? [X1,X0,X3,X2,X4] :
( identity(compose_function(X2,X4,X0,X1,X0),X0)
& ~ equal_maps(inverse_function(X4,X0,X1),X3,X1,X0)
& maps(X3,X1,X0)
& identity(compose_function(X4,X3,X1,X0,X1),X1)
& maps(X2,X1,X0)
& maps(X4,X0,X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
? [X4,X2,X3,X0,X1] :
( ~ equal_maps(inverse_function(X4,X0,X1),X3,X1,X0)
& maps(X4,X0,X1)
& maps(X3,X1,X0)
& identity(compose_function(X4,X3,X1,X0,X1),X1)
& maps(X2,X1,X0)
& identity(compose_function(X2,X4,X0,X1,X0),X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
~ ! [X4,X2,X3,X0,X1] :
( ( maps(X4,X0,X1)
& maps(X3,X1,X0)
& identity(compose_function(X4,X3,X1,X0,X1),X1)
& maps(X2,X1,X0)
& identity(compose_function(X2,X4,X0,X1,X0),X0) )
=> equal_maps(inverse_function(X4,X0,X1),X3,X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X9,X8,X5] :
( ( maps(X9,X1,X0)
& identity(compose_function(X5,X8,X1,X0,X1),X1)
& identity(compose_function(X9,X5,X0,X1,X0),X0)
& maps(X8,X1,X0)
& maps(X5,X0,X1) )
=> equal_maps(inverse_function(X5,X0,X1),X8,X1,X0) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X1,X9,X8,X5] :
( ( maps(X9,X1,X0)
& identity(compose_function(X5,X8,X1,X0,X1),X1)
& identity(compose_function(X9,X5,X0,X1,X0),X0)
& maps(X8,X1,X0)
& maps(X5,X0,X1) )
=> equal_maps(inverse_function(X5,X0,X1),X8,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII18) ).
fof(f187,plain,
! [X2,X3,X0,X1] :
( equal_maps(X0,X3,X2,X1)
| member(sK12(X0,X1,X2,X3),X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ( member(sK12(X0,X1,X2,X3),X2)
& apply(X0,sK12(X0,X1,X2,X3),sK13(X0,X1,X2,X3))
& apply(X3,sK12(X0,X1,X2,X3),sK14(X0,X1,X2,X3))
& sK14(X0,X1,X2,X3) != sK13(X0,X1,X2,X3)
& member(sK14(X0,X1,X2,X3),X1)
& member(sK13(X0,X1,X2,X3),X1) )
| equal_maps(X0,X3,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f122,f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( member(X4,X2)
& apply(X0,X4,X5)
& apply(X3,X4,X6)
& X5 != X6
& member(X6,X1)
& member(X5,X1) )
=> ( member(sK12(X0,X1,X2,X3),X2)
& apply(X0,sK12(X0,X1,X2,X3),sK13(X0,X1,X2,X3))
& apply(X3,sK12(X0,X1,X2,X3),sK14(X0,X1,X2,X3))
& sK14(X0,X1,X2,X3) != sK13(X0,X1,X2,X3)
& member(sK14(X0,X1,X2,X3),X1)
& member(sK13(X0,X1,X2,X3),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( member(X4,X2)
& apply(X0,X4,X5)
& apply(X3,X4,X6)
& X5 != X6
& member(X6,X1)
& member(X5,X1) )
| equal_maps(X0,X3,X2,X1) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X1,X0] :
( ? [X4,X5,X6] :
( member(X4,X1)
& apply(X2,X4,X5)
& apply(X0,X4,X6)
& X5 != X6
& member(X6,X3)
& member(X5,X3) )
| equal_maps(X2,X0,X1,X3) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X3,X2,X0,X1] :
( equal_maps(X2,X0,X1,X3)
| ? [X6,X5,X4] :
( X5 != X6
& apply(X0,X4,X6)
& apply(X2,X4,X5)
& member(X5,X3)
& member(X4,X1)
& member(X6,X3) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X3,X2,X0,X1] :
( ! [X6,X5,X4] :
( ( member(X5,X3)
& member(X4,X1)
& member(X6,X3) )
=> ( ( apply(X0,X4,X6)
& apply(X2,X4,X5) )
=> X5 = X6 ) )
=> equal_maps(X2,X0,X1,X3) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
fof(f57,plain,
! [X3,X2,X0,X1] :
( ! [X6,X5,X4] :
( ( member(X5,X3)
& member(X4,X1)
& member(X6,X3) )
=> ( ( apply(X0,X4,X6)
& apply(X2,X4,X5) )
=> X5 = X6 ) )
<=> equal_maps(X2,X0,X1,X3) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X9,X0,X5,X1] :
( ! [X2,X6,X7] :
( ( member(X7,X1)
& member(X2,X0)
& member(X6,X1) )
=> ( ( apply(X5,X2,X6)
& apply(X9,X2,X7) )
=> X6 = X7 ) )
<=> equal_maps(X5,X9,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_maps) ).
fof(f335,plain,
( member(sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK7)
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6) ),
inference(duplicate_literal_removal,[],[f331]) ).
fof(f331,plain,
( ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6)
| member(sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK7)
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6) ),
inference(resolution,[],[f267,f145]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X4,X0,X2,X3,X5),X6,X1)
| ~ member(X1,X5)
| ~ member(X6,X2)
| member(sK1(X0,X1,X3,X4,X6),X3) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X6,X2)
| ( ( apply(compose_function(X4,X0,X2,X3,X5),X6,X1)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X4,X7,X1)
| ~ apply(X0,X6,X7) ) )
& ( ( member(sK1(X0,X1,X3,X4,X6),X3)
& apply(X4,sK1(X0,X1,X3,X4,X6),X1)
& apply(X0,X6,sK1(X0,X1,X3,X4,X6)) )
| ~ apply(compose_function(X4,X0,X2,X3,X5),X6,X1) ) )
| ~ member(X1,X5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f85,f86]) ).
fof(f86,plain,
! [X0,X1,X3,X4,X6] :
( ? [X8] :
( member(X8,X3)
& apply(X4,X8,X1)
& apply(X0,X6,X8) )
=> ( member(sK1(X0,X1,X3,X4,X6),X3)
& apply(X4,sK1(X0,X1,X3,X4,X6),X1)
& apply(X0,X6,sK1(X0,X1,X3,X4,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X6,X2)
| ( ( apply(compose_function(X4,X0,X2,X3,X5),X6,X1)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X4,X7,X1)
| ~ apply(X0,X6,X7) ) )
& ( ? [X8] :
( member(X8,X3)
& apply(X4,X8,X1)
& apply(X0,X6,X8) )
| ~ apply(compose_function(X4,X0,X2,X3,X5),X6,X1) ) )
| ~ member(X1,X5) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X3,X5,X4,X0,X6,X1,X2] :
( ~ member(X2,X4)
| ( ( apply(compose_function(X6,X3,X4,X0,X1),X2,X5)
| ! [X7] :
( ~ member(X7,X0)
| ~ apply(X6,X7,X5)
| ~ apply(X3,X2,X7) ) )
& ( ? [X7] :
( member(X7,X0)
& apply(X6,X7,X5)
& apply(X3,X2,X7) )
| ~ apply(compose_function(X6,X3,X4,X0,X1),X2,X5) ) )
| ~ member(X5,X1) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X3,X5,X4,X0,X6,X1,X2] :
( ~ member(X2,X4)
| ( apply(compose_function(X6,X3,X4,X0,X1),X2,X5)
<=> ? [X7] :
( member(X7,X0)
& apply(X6,X7,X5)
& apply(X3,X2,X7) ) )
| ~ member(X5,X1) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X3,X2,X4,X1,X6,X0,X5] :
( ( apply(compose_function(X6,X3,X4,X0,X1),X2,X5)
<=> ? [X7] :
( member(X7,X0)
& apply(X6,X7,X5)
& apply(X3,X2,X7) ) )
| ~ member(X5,X1)
| ~ member(X2,X4) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X3,X2,X4,X1,X6,X0,X5] :
( ( member(X5,X1)
& member(X2,X4) )
=> ( apply(compose_function(X6,X3,X4,X0,X1),X2,X5)
<=> ? [X7] :
( member(X7,X0)
& apply(X6,X7,X5)
& apply(X3,X2,X7) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X10,X2,X5,X0,X11,X9] :
( ( member(X11,X10)
& member(X2,X0) )
=> ( ? [X4] :
( apply(X5,X2,X4)
& apply(X9,X4,X11)
& member(X4,X1) )
<=> apply(compose_function(X9,X5,X0,X1,X10),X2,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f267,plain,
apply(compose_function(sK10,sK8,sK6,sK7,sK6),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(resolution,[],[f207,f175]) ).
fof(f175,plain,
identity(compose_function(sK10,sK8,sK6,sK7,sK6),sK6),
inference(cnf_transformation,[],[f117]) ).
fof(f207,plain,
! [X2] :
( ~ identity(X2,sK6)
| apply(X2,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) ),
inference(resolution,[],[f203,f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| apply(X0,X2,X2)
| ~ identity(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
| ~ identity(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( identity(X0,X1)
=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
inference(unused_predicate_definition_removal,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( identity(X0,X1)
<=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X0] :
( ! [X2] :
( member(X2,X0)
=> apply(X5,X2,X2) )
<=> identity(X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f1633,plain,
( sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ member(sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK7) ),
inference(resolution,[],[f975,f338]) ).
fof(f338,plain,
apply(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))),
inference(subsumption_resolution,[],[f337,f203]) ).
fof(f337,plain,
( apply(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)))
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6) ),
inference(duplicate_literal_removal,[],[f330]) ).
fof(f330,plain,
( ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6)
| apply(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)))
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6) ),
inference(resolution,[],[f267,f143]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X4,X0,X2,X3,X5),X6,X1)
| ~ member(X1,X5)
| ~ member(X6,X2)
| apply(X0,X6,sK1(X0,X1,X3,X4,X6)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f975,plain,
! [X0] :
( ~ apply(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0)
| sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X0
| ~ member(X0,sK7) ),
inference(subsumption_resolution,[],[f974,f220]) ).
fof(f220,plain,
member(sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK7),
inference(resolution,[],[f206,f176]) ).
fof(f176,plain,
maps(sK8,sK6,sK7),
inference(cnf_transformation,[],[f117]) ).
fof(f206,plain,
! [X0,X1] :
( ~ maps(X0,sK6,X1)
| member(sK2(X0,X1,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),X1) ),
inference(resolution,[],[f203,f152]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,X2)
| member(sK2(X0,X1,X3),X1)
| ~ maps(X0,X2,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ maps(X0,X2,X1)
| ( ! [X3] :
( ( member(sK2(X0,X1,X3),X1)
& apply(X0,X3,sK2(X0,X1,X3)) )
| ~ member(X3,X2) )
& ! [X5,X6,X7] :
( ~ member(X6,X1)
| ~ member(X7,X1)
| X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f91,f92]) ).
fof(f92,plain,
! [X0,X1,X3] :
( ? [X4] :
( member(X4,X1)
& apply(X0,X3,X4) )
=> ( member(sK2(X0,X1,X3),X1)
& apply(X0,X3,sK2(X0,X1,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ maps(X0,X2,X1)
| ( ! [X3] :
( ? [X4] :
( member(X4,X1)
& apply(X0,X3,X4) )
| ~ member(X3,X2) )
& ! [X5,X6,X7] :
( ~ member(X6,X1)
| ~ member(X7,X1)
| X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X2) ) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0,X2,X1] :
( ~ maps(X0,X1,X2)
| ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( ~ member(X6,X2)
| ~ member(X7,X2)
| X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1) ) ) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X1,X0,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X7,X5,X6] :
( X6 = X7
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0,X2] :
( maps(X0,X1,X2)
=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X7,X5,X6] :
( ( member(X7,X2)
& member(X6,X2)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X5,X6) )
=> X6 = X7 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X7,X5,X6] :
( ( member(X7,X2)
& member(X6,X2)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X5,X6) )
=> X6 = X7 ) ) )
<=> maps(X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X0,X1] :
( ( ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) )
& ! [X2,X7,X6] :
( ( member(X6,X1)
& member(X2,X0)
& member(X7,X1) )
=> ( ( apply(X5,X2,X6)
& apply(X5,X2,X7) )
=> X6 = X7 ) ) )
<=> maps(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f974,plain,
! [X0] :
( ~ apply(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0)
| sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X0
| ~ member(sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK7)
| ~ member(X0,sK7) ),
inference(resolution,[],[f573,f176]) ).
fof(f573,plain,
! [X0,X1] :
( ~ maps(sK8,sK6,X0)
| sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X1
| ~ member(X1,X0)
| ~ apply(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X1)
| ~ member(sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),X0) ),
inference(resolution,[],[f319,f203]) ).
fof(f319,plain,
! [X8,X9,X7] :
( ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X8)
| ~ maps(sK8,X8,X9)
| ~ member(sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),X9)
| ~ member(X7,X9)
| sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X7
| ~ apply(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X7) ),
inference(resolution,[],[f304,f150]) ).
fof(f150,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ maps(X0,X2,X1)
| ~ member(X7,X1)
| ~ member(X6,X1)
| ~ member(X5,X2)
| X6 = X7 ),
inference(cnf_transformation,[],[f93]) ).
fof(f304,plain,
apply(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))),
inference(resolution,[],[f211,f176]) ).
fof(f211,plain,
! [X4,X5] :
( ~ maps(X4,sK6,X5)
| apply(X4,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK2(X4,X5,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))) ),
inference(resolution,[],[f151,f203]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,X2)
| ~ maps(X0,X2,X1)
| apply(X0,X3,sK2(X0,X1,X3)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f410,plain,
( sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) != sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)
| spl17_3 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f1635,plain,
spl17_1,
inference(avatar_split_clause,[],[f1634,f322]) ).
fof(f1634,plain,
sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),
inference(subsumption_resolution,[],[f1632,f201]) ).
fof(f201,plain,
member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7),
inference(resolution,[],[f183,f177]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( equal_maps(X0,X3,X2,X1)
| member(sK14(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f1632,plain,
( sK2(sK8,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)
| ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(resolution,[],[f975,f235]) ).
fof(f235,plain,
apply(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(resolution,[],[f185,f177]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( equal_maps(X0,X3,X2,X1)
| apply(X3,sK12(X0,X1,X2,X3),sK14(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f1344,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1343,plain,
( $false
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f1342,f1190]) ).
fof(f1190,plain,
sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(subsumption_resolution,[],[f979,f199]) ).
fof(f199,plain,
member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7),
inference(resolution,[],[f182,f177]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( equal_maps(X0,X3,X2,X1)
| member(sK13(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f979,plain,
( sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(resolution,[],[f973,f546]) ).
fof(f546,plain,
apply(sK9,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(backward_demodulation,[],[f278,f544]) ).
fof(f544,plain,
sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(subsumption_resolution,[],[f494,f277]) ).
fof(f277,plain,
member(sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6),
inference(subsumption_resolution,[],[f276,f199]) ).
fof(f276,plain,
( member(sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6)
| ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(duplicate_literal_removal,[],[f270]) ).
fof(f270,plain,
( ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| member(sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6) ),
inference(resolution,[],[f265,f145]) ).
fof(f265,plain,
apply(compose_function(sK9,sK10,sK7,sK6,sK7),sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(resolution,[],[f200,f178]) ).
fof(f178,plain,
identity(compose_function(sK9,sK10,sK7,sK6,sK7),sK7),
inference(cnf_transformation,[],[f117]) ).
fof(f200,plain,
! [X0] :
( ~ identity(X0,sK7)
| apply(X0,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) ),
inference(resolution,[],[f199,f188]) ).
fof(f494,plain,
( ~ member(sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6)
| sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) ),
inference(resolution,[],[f478,f279]) ).
fof(f279,plain,
apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))),
inference(subsumption_resolution,[],[f274,f199]) ).
fof(f274,plain,
( ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))) ),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f269,plain,
( apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)))
| ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(resolution,[],[f265,f143]) ).
fof(f478,plain,
! [X0] :
( ~ apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0)
| sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = X0
| ~ member(X0,sK6) ),
inference(subsumption_resolution,[],[f477,f203]) ).
fof(f477,plain,
! [X0] :
( sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = X0
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6)
| ~ member(X0,sK6)
| ~ apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0) ),
inference(resolution,[],[f354,f173]) ).
fof(f173,plain,
maps(sK10,sK7,sK6),
inference(cnf_transformation,[],[f117]) ).
fof(f354,plain,
! [X0,X1] :
( ~ maps(sK10,sK7,X1)
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X1)
| ~ apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0)
| sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = X0
| ~ member(X0,X1) ),
inference(resolution,[],[f260,f199]) ).
fof(f260,plain,
! [X6,X7,X5] :
( ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X6)
| ~ member(X5,X7)
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X7)
| sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = X5
| ~ maps(sK10,X6,X7)
| ~ apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X5) ),
inference(resolution,[],[f258,f150]) ).
fof(f258,plain,
apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(subsumption_resolution,[],[f257,f199]) ).
fof(f257,plain,
( apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(subsumption_resolution,[],[f253,f203]) ).
fof(f253,plain,
( ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6)
| ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| apply(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) ),
inference(resolution,[],[f242,f160]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(inverse_function(X0,X1,X4),X2,X3)
| ~ member(X2,X4)
| apply(X0,X3,X2)
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
( ~ member(X2,X4)
| ~ member(X3,X1)
| ( ( apply(inverse_function(X0,X1,X4),X2,X3)
| ~ apply(X0,X3,X2) )
& ( apply(X0,X3,X2)
| ~ apply(inverse_function(X0,X1,X4),X2,X3) ) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X2,X0,X4,X1,X3] :
( ~ member(X4,X3)
| ~ member(X1,X0)
| ( ( apply(inverse_function(X2,X0,X3),X4,X1)
| ~ apply(X2,X1,X4) )
& ( apply(X2,X1,X4)
| ~ apply(inverse_function(X2,X0,X3),X4,X1) ) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X2,X0,X4,X1,X3] :
( ~ member(X4,X3)
| ~ member(X1,X0)
| ( apply(inverse_function(X2,X0,X3),X4,X1)
<=> apply(X2,X1,X4) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X1,X4,X0,X2,X3] :
( ( apply(inverse_function(X2,X0,X3),X4,X1)
<=> apply(X2,X1,X4) )
| ~ member(X1,X0)
| ~ member(X4,X3) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X4,X0,X2,X3] :
( ( member(X1,X0)
& member(X4,X3) )
=> ( apply(inverse_function(X2,X0,X3),X4,X1)
<=> apply(X2,X1,X4) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X2,X5,X1,X4] :
( ( member(X4,X1)
& member(X2,X0) )
=> ( apply(X5,X2,X4)
<=> apply(inverse_function(X5,X0,X1),X4,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_function) ).
fof(f242,plain,
apply(inverse_function(sK10,sK7,sK6),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(resolution,[],[f186,f177]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( equal_maps(X0,X3,X2,X1)
| apply(X0,sK12(X0,X1,X2,X3),sK13(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f278,plain,
apply(sK9,sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(subsumption_resolution,[],[f275,f199]) ).
fof(f275,plain,
( apply(sK9,sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f268,plain,
( ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| ~ member(sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| apply(sK9,sK1(sK10,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) ),
inference(resolution,[],[f265,f144]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X4,X0,X2,X3,X5),X6,X1)
| apply(X4,sK1(X0,X1,X3,X4,X6),X1)
| ~ member(X1,X5)
| ~ member(X6,X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f973,plain,
! [X0] :
( ~ apply(sK9,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0)
| ~ member(X0,sK7)
| sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X0 ),
inference(subsumption_resolution,[],[f972,f219]) ).
fof(f219,plain,
member(sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK7),
inference(resolution,[],[f206,f174]) ).
fof(f174,plain,
maps(sK9,sK6,sK7),
inference(cnf_transformation,[],[f117]) ).
fof(f972,plain,
! [X0] :
( ~ apply(sK9,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0)
| ~ member(X0,sK7)
| sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X0
| ~ member(sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK7) ),
inference(resolution,[],[f572,f174]) ).
fof(f572,plain,
! [X0,X1] :
( ~ maps(sK9,sK6,X1)
| ~ apply(sK9,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0)
| ~ member(X0,X1)
| sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X0
| ~ member(sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),X1) ),
inference(resolution,[],[f311,f203]) ).
fof(f311,plain,
! [X6,X7,X5] :
( ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X6)
| ~ apply(sK9,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X5)
| ~ member(X5,X7)
| ~ member(sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),X7)
| ~ maps(sK9,X6,X7)
| sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X5 ),
inference(resolution,[],[f303,f150]) ).
fof(f303,plain,
apply(sK9,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))),
inference(resolution,[],[f211,f174]) ).
fof(f1342,plain,
( sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) != sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f1341,f177]) ).
fof(f1341,plain,
( equal_maps(inverse_function(sK10,sK7,sK6),sK8,sK6,sK7)
| sK13(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) != sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ spl17_3 ),
inference(superposition,[],[f184,f981]) ).
fof(f981,plain,
( sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f980,f201]) ).
fof(f980,plain,
( sK2(sK9,sK7,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)
| ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| ~ spl17_3 ),
inference(resolution,[],[f973,f936]) ).
fof(f936,plain,
( apply(sK9,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ spl17_3 ),
inference(backward_demodulation,[],[f293,f934]) ).
fof(f934,plain,
( sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ spl17_3 ),
inference(forward_demodulation,[],[f933,f815]) ).
fof(f815,plain,
( sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f814,f203]) ).
fof(f814,plain,
( ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6)
| sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8) = sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ spl17_3 ),
inference(resolution,[],[f804,f417]) ).
fof(f417,plain,
( apply(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ spl17_3 ),
inference(backward_demodulation,[],[f339,f411]) ).
fof(f411,plain,
( sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f339,plain,
apply(sK10,sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(subsumption_resolution,[],[f336,f203]) ).
fof(f336,plain,
( apply(sK10,sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6) ),
inference(duplicate_literal_removal,[],[f329]) ).
fof(f329,plain,
( apply(sK10,sK1(sK8,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7,sK10,sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6)
| ~ member(sK12(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6) ),
inference(resolution,[],[f267,f144]) ).
fof(f804,plain,
! [X0] :
( ~ apply(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0)
| ~ member(X0,sK6)
| sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X0 ),
inference(subsumption_resolution,[],[f803,f215]) ).
fof(f215,plain,
member(sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6),
inference(resolution,[],[f205,f173]) ).
fof(f205,plain,
! [X2,X3] :
( ~ maps(X2,sK7,X3)
| member(sK2(X2,X3,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),X3) ),
inference(resolution,[],[f152,f201]) ).
fof(f803,plain,
! [X0] :
( sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X0
| ~ member(sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6)
| ~ member(X0,sK6)
| ~ apply(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0) ),
inference(resolution,[],[f571,f173]) ).
fof(f571,plain,
! [X0,X1] :
( ~ maps(sK10,sK7,X1)
| ~ apply(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X0)
| ~ member(sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),X1)
| ~ member(X0,X1)
| sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X0 ),
inference(resolution,[],[f306,f201]) ).
fof(f306,plain,
! [X6,X7,X5] :
( ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X6)
| ~ maps(sK10,X6,X7)
| ~ member(sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),X7)
| ~ member(X5,X7)
| ~ apply(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),X5)
| sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = X5 ),
inference(resolution,[],[f299,f150]) ).
fof(f299,plain,
apply(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))),
inference(resolution,[],[f210,f173]) ).
fof(f210,plain,
! [X2,X3] :
( ~ maps(X2,sK7,X3)
| apply(X2,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK2(X2,X3,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))) ),
inference(resolution,[],[f151,f201]) ).
fof(f933,plain,
sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(subsumption_resolution,[],[f813,f294]) ).
fof(f294,plain,
member(sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6),
inference(subsumption_resolution,[],[f289,f201]) ).
fof(f289,plain,
( member(sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6)
| ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(duplicate_literal_removal,[],[f285]) ).
fof(f285,plain,
( ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| member(sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6)
| ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(resolution,[],[f266,f145]) ).
fof(f266,plain,
apply(compose_function(sK9,sK10,sK7,sK6,sK7),sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(resolution,[],[f202,f178]) ).
fof(f202,plain,
! [X0] :
( ~ identity(X0,sK7)
| apply(X0,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) ),
inference(resolution,[],[f201,f188]) ).
fof(f813,plain,
( sK2(sK10,sK6,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) = sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ member(sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK6) ),
inference(resolution,[],[f804,f292]) ).
fof(f292,plain,
apply(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))),
inference(subsumption_resolution,[],[f291,f201]) ).
fof(f291,plain,
( apply(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)))
| ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f284,plain,
( ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| apply(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)))
| ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(resolution,[],[f266,f143]) ).
fof(f293,plain,
apply(sK9,sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),
inference(subsumption_resolution,[],[f290,f201]) ).
fof(f290,plain,
( ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| apply(sK9,sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)) ),
inference(duplicate_literal_removal,[],[f283]) ).
fof(f283,plain,
( ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7)
| apply(sK9,sK1(sK10,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK6,sK9,sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8)),sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8))
| ~ member(sK14(inverse_function(sK10,sK7,sK6),sK7,sK6,sK8),sK7) ),
inference(resolution,[],[f266,f144]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( sK14(X0,X1,X2,X3) != sK13(X0,X1,X2,X3)
| equal_maps(X0,X3,X2,X1) ),
inference(cnf_transformation,[],[f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET727+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:16:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (31508)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (31506)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 % (31531)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (31514)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (31525)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.55 % (31516)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56 % (31502)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.56 TRYING [2]
% 1.56/0.57 % (31518)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.57 % (31527)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.56/0.57 % (31526)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.56/0.57 % (31517)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.56/0.57 % (31523)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.56/0.58 % (31510)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.76/0.58 TRYING [1]
% 1.76/0.58 % (31510)Instruction limit reached!
% 1.76/0.58 % (31510)------------------------------
% 1.76/0.58 % (31510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58 % (31510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58 % (31510)Termination reason: Unknown
% 1.76/0.58 % (31510)Termination phase: Preprocessing 3
% 1.76/0.58
% 1.76/0.58 % (31510)Memory used [KB]: 895
% 1.76/0.58 % (31510)Time elapsed: 0.003 s
% 1.76/0.58 % (31510)Instructions burned: 2 (million)
% 1.76/0.58 % (31510)------------------------------
% 1.76/0.58 % (31510)------------------------------
% 1.76/0.58 TRYING [2]
% 1.76/0.58 % (31509)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.76/0.59 % (31507)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.76/0.59 % (31503)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.76/0.59 % (31505)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.76/0.59 % (31504)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.76/0.60 % (31509)Instruction limit reached!
% 1.76/0.60 % (31509)------------------------------
% 1.76/0.60 % (31509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60 % (31509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60 % (31509)Termination reason: Unknown
% 1.76/0.60 % (31509)Termination phase: Saturation
% 1.76/0.60
% 1.76/0.60 % (31509)Memory used [KB]: 5628
% 1.76/0.60 % (31509)Time elapsed: 0.113 s
% 1.76/0.60 % (31509)Instructions burned: 8 (million)
% 1.76/0.60 % (31509)------------------------------
% 1.76/0.60 % (31509)------------------------------
% 1.76/0.60 % (31524)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.76/0.61 TRYING [3]
% 1.76/0.61 % (31515)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.76/0.61 % (31513)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.61 % (31512)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.76/0.61 % (31503)Refutation not found, incomplete strategy% (31503)------------------------------
% 1.76/0.61 % (31503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61 % (31503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (31503)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.61
% 1.76/0.61 % (31503)Memory used [KB]: 5628
% 1.76/0.61 % (31503)Time elapsed: 0.194 s
% 1.76/0.61 % (31503)Instructions burned: 7 (million)
% 1.76/0.61 % (31503)------------------------------
% 1.76/0.61 % (31503)------------------------------
% 1.76/0.62 % (31508)Instruction limit reached!
% 1.76/0.62 % (31508)------------------------------
% 1.76/0.62 % (31508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.62 % (31528)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.76/0.62 % (31508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.62 % (31508)Termination reason: Unknown
% 1.76/0.62 % (31508)Termination phase: Finite model building constraint generation
% 1.76/0.62
% 1.76/0.62 % (31508)Memory used [KB]: 9210
% 1.76/0.62 % (31508)Time elapsed: 0.192 s
% 1.76/0.62 % (31508)Instructions burned: 52 (million)
% 1.76/0.62 % (31508)------------------------------
% 1.76/0.62 % (31508)------------------------------
% 1.76/0.62 TRYING [3]
% 1.76/0.62 % (31532)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.76/0.62 % (31530)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.76/0.62 % (31529)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.76/0.62 % (31511)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.76/0.62 % (31521)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.62 % (31520)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.63 % (31519)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.76/0.63 % (31506)Instruction limit reached!
% 1.76/0.63 % (31506)------------------------------
% 1.76/0.63 % (31506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.63 TRYING [1]
% 1.76/0.65 % (31506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.65 % (31506)Termination reason: Unknown
% 1.76/0.65 % (31506)Termination phase: Saturation
% 1.76/0.65
% 1.76/0.65 % (31506)Memory used [KB]: 6652
% 1.76/0.65 % (31506)Time elapsed: 0.216 s
% 1.76/0.65 % (31506)Instructions burned: 51 (million)
% 1.76/0.65 % (31506)------------------------------
% 1.76/0.65 % (31506)------------------------------
% 2.30/0.66 TRYING [2]
% 2.44/0.70 % (31504)Instruction limit reached!
% 2.44/0.70 % (31504)------------------------------
% 2.44/0.70 % (31504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.70 % (31504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.70 % (31504)Termination reason: Unknown
% 2.44/0.70 % (31504)Termination phase: Saturation
% 2.44/0.70
% 2.44/0.70 % (31504)Memory used [KB]: 1663
% 2.44/0.70 % (31504)Time elapsed: 0.278 s
% 2.44/0.70 % (31504)Instructions burned: 38 (million)
% 2.44/0.70 % (31504)------------------------------
% 2.44/0.70 % (31504)------------------------------
% 2.44/0.71 TRYING [3]
% 2.71/0.72 % (31516)Instruction limit reached!
% 2.71/0.72 % (31516)------------------------------
% 2.71/0.72 % (31516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.72 % (31516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.72 % (31516)Termination reason: Unknown
% 2.71/0.72 % (31516)Termination phase: Saturation
% 2.71/0.72
% 2.71/0.72 % (31516)Memory used [KB]: 7164
% 2.71/0.72 % (31516)Time elapsed: 0.070 s
% 2.71/0.72 % (31516)Instructions burned: 68 (million)
% 2.71/0.72 % (31516)------------------------------
% 2.71/0.72 % (31516)------------------------------
% 2.71/0.73 % (31507)Instruction limit reached!
% 2.71/0.73 % (31507)------------------------------
% 2.71/0.73 % (31507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.73 % (31507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.73 % (31507)Termination reason: Unknown
% 2.71/0.73 % (31507)Termination phase: Saturation
% 2.71/0.73
% 2.71/0.73 % (31507)Memory used [KB]: 6268
% 2.71/0.73 % (31507)Time elapsed: 0.310 s
% 2.71/0.73 % (31507)Instructions burned: 49 (million)
% 2.71/0.73 % (31507)------------------------------
% 2.71/0.73 % (31507)------------------------------
% 2.71/0.73 % (31514)Instruction limit reached!
% 2.71/0.73 % (31514)------------------------------
% 2.71/0.73 % (31514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.73 % (31514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.73 % (31514)Termination reason: Unknown
% 2.71/0.73 % (31514)Termination phase: Saturation
% 2.71/0.73
% 2.71/0.73 % (31514)Memory used [KB]: 7291
% 2.71/0.73 % (31514)Time elapsed: 0.306 s
% 2.71/0.73 % (31514)Instructions burned: 102 (million)
% 2.71/0.73 % (31514)------------------------------
% 2.71/0.73 % (31514)------------------------------
% 2.71/0.74 % (31519)Instruction limit reached!
% 2.71/0.74 % (31519)------------------------------
% 2.71/0.74 % (31519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.74 % (31519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.74 % (31519)Termination reason: Unknown
% 2.71/0.74 % (31519)Termination phase: Finite model building constraint generation
% 2.71/0.74
% 2.71/0.74 % (31519)Memory used [KB]: 10234
% 2.71/0.74 % (31519)Time elapsed: 0.307 s
% 2.71/0.74 % (31519)Instructions burned: 60 (million)
% 2.71/0.74 % (31519)------------------------------
% 2.71/0.74 % (31519)------------------------------
% 2.93/0.75 % (31512)Instruction limit reached!
% 2.93/0.75 % (31512)------------------------------
% 2.93/0.75 % (31512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.75 % (31512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.75 % (31512)Termination reason: Unknown
% 2.93/0.75 % (31512)Termination phase: Saturation
% 2.93/0.75
% 2.93/0.75 % (31512)Memory used [KB]: 6652
% 2.93/0.75 % (31512)Time elapsed: 0.339 s
% 2.93/0.75 % (31512)Instructions burned: 51 (million)
% 2.93/0.75 % (31512)------------------------------
% 2.93/0.75 % (31512)------------------------------
% 2.93/0.76 % (31517)Instruction limit reached!
% 2.93/0.76 % (31517)------------------------------
% 2.93/0.76 % (31517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.76 % (31517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.76 % (31517)Termination reason: Unknown
% 2.93/0.76 % (31517)Termination phase: Saturation
% 2.93/0.76
% 2.93/0.76 % (31517)Memory used [KB]: 2430
% 2.93/0.76 % (31517)Time elapsed: 0.280 s
% 2.93/0.76 % (31517)Instructions burned: 75 (million)
% 2.93/0.76 % (31517)------------------------------
% 2.93/0.76 % (31517)------------------------------
% 2.93/0.76 % (31505)Instruction limit reached!
% 2.93/0.76 % (31505)------------------------------
% 2.93/0.76 % (31505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.76 % (31505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.76 % (31505)Termination reason: Unknown
% 2.93/0.76 % (31505)Termination phase: Saturation
% 2.93/0.76
% 2.93/0.76 % (31505)Memory used [KB]: 6140
% 2.93/0.76 % (31505)Time elapsed: 0.311 s
% 2.93/0.76 % (31505)Instructions burned: 51 (million)
% 2.93/0.76 % (31505)------------------------------
% 2.93/0.76 % (31505)------------------------------
% 2.93/0.76 % (31511)Instruction limit reached!
% 2.93/0.76 % (31511)------------------------------
% 2.93/0.76 % (31511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.76 % (31511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.76 % (31511)Termination reason: Unknown
% 2.93/0.76 % (31511)Termination phase: Saturation
% 2.93/0.76
% 2.93/0.76 % (31511)Memory used [KB]: 2558
% 2.93/0.76 % (31511)Time elapsed: 0.328 s
% 2.93/0.76 % (31511)Instructions burned: 51 (million)
% 2.93/0.76 % (31511)------------------------------
% 2.93/0.76 % (31511)------------------------------
% 2.93/0.78 % (31534)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.93/0.78 % (31529)Instruction limit reached!
% 2.93/0.78 % (31529)------------------------------
% 2.93/0.78 % (31529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.78 % (31529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.78 % (31529)Termination reason: Unknown
% 2.93/0.78 % (31529)Termination phase: Saturation
% 2.93/0.78
% 2.93/0.78 % (31529)Memory used [KB]: 7036
% 2.93/0.78 % (31529)Time elapsed: 0.056 s
% 2.93/0.78 % (31529)Instructions burned: 68 (million)
% 2.93/0.78 % (31529)------------------------------
% 2.93/0.78 % (31529)------------------------------
% 2.93/0.81 % (31535)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.93/0.82 % (31520)Instruction limit reached!
% 2.93/0.82 % (31520)------------------------------
% 2.93/0.82 % (31520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.82 % (31518)Instruction limit reached!
% 2.93/0.82 % (31518)------------------------------
% 2.93/0.82 % (31518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.82 % (31518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.82 % (31518)Termination reason: Unknown
% 2.93/0.82 % (31518)Termination phase: Saturation
% 2.93/0.82
% 2.93/0.82 % (31518)Memory used [KB]: 6908
% 2.93/0.82 % (31518)Time elapsed: 0.419 s
% 2.93/0.82 % (31518)Instructions burned: 100 (million)
% 2.93/0.82 % (31518)------------------------------
% 2.93/0.82 % (31518)------------------------------
% 2.93/0.82 % (31520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.82 % (31520)Termination reason: Unknown
% 2.93/0.82 % (31520)Termination phase: Saturation
% 2.93/0.82
% 2.93/0.82 % (31520)Memory used [KB]: 7419
% 2.93/0.82 % (31520)Time elapsed: 0.404 s
% 2.93/0.82 % (31520)Instructions burned: 101 (million)
% 2.93/0.82 % (31520)------------------------------
% 2.93/0.82 % (31520)------------------------------
% 3.21/0.84 % (31536)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.21/0.84 % (31521)Instruction limit reached!
% 3.21/0.84 % (31521)------------------------------
% 3.21/0.84 % (31521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.84 % (31521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.84 % (31521)Termination reason: Unknown
% 3.21/0.84 % (31521)Termination phase: Saturation
% 3.21/0.84
% 3.21/0.84 % (31521)Memory used [KB]: 2430
% 3.21/0.84 % (31521)Time elapsed: 0.429 s
% 3.21/0.84 % (31521)Instructions burned: 100 (million)
% 3.21/0.84 % (31521)------------------------------
% 3.21/0.84 % (31521)------------------------------
% 3.21/0.85 % (31513)Instruction limit reached!
% 3.21/0.85 % (31513)------------------------------
% 3.21/0.85 % (31513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.85 % (31513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.85 % (31513)Termination reason: Unknown
% 3.21/0.85 % (31513)Termination phase: Saturation
% 3.21/0.85
% 3.21/0.85 % (31513)Memory used [KB]: 6780
% 3.21/0.85 % (31513)Time elapsed: 0.439 s
% 3.21/0.85 % (31513)Instructions burned: 101 (million)
% 3.21/0.85 % (31513)------------------------------
% 3.21/0.85 % (31513)------------------------------
% 3.21/0.85 % (31537)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.21/0.86 % (31543)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.21/0.87 % (31538)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.21/0.87 % (31546)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.53/0.88 % (31515)Instruction limit reached!
% 3.53/0.88 % (31515)------------------------------
% 3.53/0.88 % (31515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.88 % (31515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.88 % (31515)Termination reason: Unknown
% 3.53/0.88 % (31515)Termination phase: Saturation
% 3.53/0.88
% 3.53/0.88 % (31515)Memory used [KB]: 7291
% 3.53/0.88 % (31515)Time elapsed: 0.464 s
% 3.53/0.88 % (31515)Instructions burned: 99 (million)
% 3.53/0.88 % (31515)------------------------------
% 3.53/0.88 % (31515)------------------------------
% 3.53/0.88 % (31526)First to succeed.
% 3.53/0.89 % (31541)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.53/0.91 % (31540)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.53/0.91 % (31526)Refutation found. Thanks to Tanya!
% 3.53/0.91 % SZS status Theorem for theBenchmark
% 3.53/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/0.91 % (31526)------------------------------
% 3.53/0.91 % (31526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.91 % (31526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.91 % (31526)Termination reason: Refutation
% 3.53/0.91
% 3.53/0.91 % (31526)Memory used [KB]: 6524
% 3.53/0.91 % (31526)Time elapsed: 0.390 s
% 3.53/0.91 % (31526)Instructions burned: 127 (million)
% 3.53/0.91 % (31526)------------------------------
% 3.53/0.91 % (31526)------------------------------
% 3.53/0.91 % (31501)Success in time 0.562 s
%------------------------------------------------------------------------------